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Finding the Fourth Proportional to 307.69, 461.21 and 134.45

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Solution

The fourth proportional to 307.69, 461.21 and 134.45 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 461.21 = 134.45 : x
  2. Step 2: Convert to fraction form
    307.69/461.21 = 134.45/x
  3. Step 3: Cross multiply
    307.69x = 461.21 × 134.45
  4. Step 4: Simplify right side
    307.69x = 62,011.79
  5. Step 5: Solve for x
    x = 62,011.79/307.69
  6. Step 6: Final answer
    x = 201.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.